Model for the sensor output

[kuzhing]

Hi ,
I have a problem. I have a reference signal (pure signal) and I have a sensor output signal (the output of the sensor must give me the same reference signal but it is not the real life) . I need to make a model for the sensor output to give me the same reference signal ...
Any suggestions ...

 

[kuzhing]

To make it more clear , I have two output sensors the expensive one is accurate and the other ceap one is noisy , biased and from different brand. The signal contains static and dynamic parts. I want to make a model for the cheap sensor or to clean the signal to be like the expensive sensor ... Help !